Question

Convert the numeral to a numeral in the base indicated.

16,629 to base 13

Answer 1

First calculate the powers of 13 until you get something bigger than 16629
13^0 = 1
13^1 = 13
13^2 = 169
13^3 = 2197
13^4 = 28561....bigger than 16629..so stop. we won't need 13^4

Answer 2

Now look at 13^3 which is 2197
16629 / 2197 = 7 remainder 1250
1250 / 169 = 7 remainder 67
67 / 13 = 5 remainder 2
2 / 1 = 2
Answer 7752

Answer 3

if you want to check it

\[7752_{13}\\\quad=7\times13^3+7\times13^2+5\times13^1+2\times13^0\\\quad=7\times2197+7\times169+5\times13+2\\\quad=15379+1183+65+2\\\quad=\color{white}{16629}\]